Bachelors in ayurvedic medicine are offered in over 150 medical colleges. Since, you have not mentioned any particular city I'm enlisting some of the good colleges.

Eligibility
These colleges provide admission into 5½ year BAMS and 3 years MD with the eligibility criteria that the you must have studied physics, chemistry and biology upto class XII level.

The notification for this course is generally published in the month of june, july and august.

Colleges for BAMS

EASTERN REGION

JB Roy state medical college, kolkata

Government ayurvedic college, guwahati

Babasaheb bhimrao ambedkar university, muzaffarpur

Berhampur university, berhampur

SSN ayurved college and research institute, utkal

NORTHERN REGION

Chatrapati shahuji maharaj university, Kanpur

Lal bahadur shastri government ayurvedic mahavidyalaya, handia

Rishikul state ayurvedic college, pilibhit

Luchnow university, luck now

State ayurvedic college, hardwar

S Sanskrit rajkiya ayurveda mahavidyalaya avam chikitsalaya, Varanasi

Sri dhanwantri ayurvedic college, Chandigarh

Dayanand ayurvedic college, jalandhar

Guru nanak ayurvedic medical college and hospital, muktsar

Sree lakshminarayan ayurvedic college, Amritsar

Ayurvedic and unani tibia college, new delhi

Sri Krishna government ayurvedic college, kurukshetra

Gaur Brahman ayurvedic college, rohtak

Sri baba mast nath ayurvedic college, rohtak

AP singh university, rewa

Government ashtang ayurveda college, indore

Government ayurvedic college, Raipur

Vikram government dhanvantri ayurvedic college, Ujjain

Rajiv Gandhi government ayurvedic college, kangra

SOUTHERN REGION

NTR university of health sciences, vijaywada

Sri venkatashwara college

Rajiv Gandhi university of health sciences, Bangalore

Ayurveda mahavidhayalaya, old hubli

Ayurvedic medical college, ghataprabha

Ayurvedic medical college, davangera

Ayurvedic medical college, terdal

SDM college of ayurveda, Karnataka

KPSVS Ayurvedic medical college, manvi

KVG Ayurvedic medical college, and hospital, dharwad

SGV Ayurvedic medical college, bailhongal

SVM Ayurvedic medical college,ilkal

TSPS mandalis Ayurvedic medical college, bijapur

Taranath government Ayurvedic medical college, bellary

WESTERN REGION

Bharati vidhyapeeth, pune

Ayurvedic mahavidyalaya, Mumbai

Ayurvedic medical college, Kolhapur

DCS ayurveda college, deopur

Government ayurvedic college, nanded

Government ayurvedic college, Nagpur

Government ayurvedic college, osmanabad

Shri ayurvede mahavidhyalaya, Nagpur

Gujrat ayurvedic university, gujrat

JS ayurvede mahavidhayalaya, nadiad

Sri balahanuman ayurved mahavidhyalaya, gandhinagar

Goa university, goa

MMM government ayurvedic college, Udaipur

National institute of ayurveda, jaipur

Shree bhanwarlal durga ayurveda vishwa bharati, sardarshahar

Tilak ayurvedic mahavidhalaya, pune

Fees
The course fees for BAMS is around 2.5 lakh rupees. Many of the institutes also offer correspondence courses whose fees lies anywhere around 3 lakhs. If you want to pursue the integrated course you have to shell out anywhere between 4.5 to 5 lakhs excluding other fees. The institute charges separate fees for library, hostel or any other facilities.